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arxiv: 1108.6004 · v1 · pith:F74ERN2Rnew · submitted 2011-08-30 · 🧮 math.DG

Homogeneous variational problems: a minicourse

classification 🧮 math.DG
keywords finslerproblemsvariationalgeometryhomogeneousminicourseconsidercurves
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A Finsler geometry may be understood as a homogeneous variational problem, where the Finsler function is the Lagrangian. The extremals in Finsler geometry are curves, but in more general variational problems we might consider extremal submanifolds of dimension $m$. In this minicourse we discuss these problems from a geometric point of view.

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